MIP1502 Assignment 2 (COMPLETE ANSWERS) Semester 1 2025 - DUE 30 June 2025; 100% correct solutions and explanations.

MIP1502 Assignment 2 (COMPLETE ANSWERS) Semester 1 2025 - DUE 30 June 2025; 100% correct solutions and explanations. Question 1 1.1 Algebra is often introduced in primary school through patterns, number sentences, and symbolic reasoning. Critically evaluate the rationale for introducing algebraic thinking in the Foundation and Intermediate Phases. In your response: 1.1.1 Discuss at least two pedagogical benefits of early algebra exposure. (4) 1.1.2 Identify one common misconception learners may develop and explain how it can be addressed. (3) 1.1.3 Justify how early algebra supports progression into formal algebra in later grades. (3) 1.2 Many learners struggle with the concept of multiplying negative numbers. Design a mini-lesson (not just explanations) that includes: 1.2.1 A real-world context (2) 1.2.2 A visual model (2) 1.2.3 A pattern-based reasoning approach (2) 1.2.4 Explain how each method supports conceptual understanding. (4) [20] Question 2 2.1 Translate the following real-world scenarios into algebraic expressions or equations. Then solve them. 2.1.1 A machine depreciates in value by 15% annually. If it was worth R120,000 initially, what is its value after 3 years? (4) 2.1.2 A recipe calls for 2 parts flour, 3 parts sugar, and 5 parts water. If you have 1.2 kg of sugar, how much flour and water are needed to maintain the ratio?. (4) 2.1.3 A plumber charges a call-out fee and an hourly rate. A 3-hour job costs R870, and a 5-hour job costs R1,250. Determine the call-out fee and hourly rate. (6) 2.2 Create a real-world context for the equation: